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Finding the Fourth Proportional to 11,188.29, 16,745.92 and 8,225.95

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Solution

The fourth proportional to 11,188.29, 16,745.92 and 8,225.95 is: 12,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.29 : 16,745.92 = 8,225.95 : x
  2. Step 2: Convert to fraction form
    11,188.29/16,745.92 = 8,225.95/x
  3. Step 3: Cross multiply
    11,188.29x = 16,745.92 × 8,225.95
  4. Step 4: Simplify right side
    11,188.29x = 137,751,100.62
  5. Step 5: Solve for x
    x = 137,751,100.62/11,188.29
  6. Step 6: Final answer
    x = 12,312.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.